51970308525744 has 320 divisors, whose sum is σ = 160391000985600. Its totient is φ = 14187018875904.

The previous prime is 51970308525731. The next prime is 51970308525787. The reversal of 51970308525744 is 44752580307915.

51970308525744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51970308525744² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415743219 + ... + 415868205.

It is an arithmetic number, because the mean of its divisors is an integer number (501221878080).

Almost surely, 2^{51970308525744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51970308525744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80195500492800).

51970308525744 is an abundant number, since it is smaller than the sum of its proper divisors (108420692459856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51970308525744 is a wasteful number, since it uses less digits than its factorization.

51970308525744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125480 (or 125474 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 51970308525744 in words is "fifty-one trillion, nine hundred seventy billion, three hundred eight million, five hundred twenty-five thousand, seven hundred forty-four".